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Finding the Fourth Proportional to 52,384.32, 72,282.24 and 30,024

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Solution

The fourth proportional to 52,384.32, 72,282.24 and 30,024 is: 41,428.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,384.32 : 72,282.24 = 30,024 : x
  2. Step 2: Convert to fraction form
    52,384.32/72,282.24 = 30,024/x
  3. Step 3: Cross multiply
    52,384.32x = 72,282.24 × 30,024
  4. Step 4: Simplify right side
    52,384.32x = 2,170,201,973.76
  5. Step 5: Solve for x
    x = 2,170,201,973.76/52,384.32
  6. Step 6: Final answer
    x = 41,428.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.